Strong commutativity preserving maps on rings.

DOI10.1216/RMJ-2014-44-3-733zbMath1312.16041MaRDI QIDQ457933

Shuanping Du, Zhaofang Bai

Publication date: 30 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1411945661

zbMATH Keywords

idempotentsvon Neumann algebrasringsadditive mapsstrong commutativity preserving mapssurjective maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Mixed *-Jordan-type derivations on *-algebras, *-Lie-type maps on C*-algebras, Nonadditive strong commutativity preserving maps on rank-k matrices over division rings, Commuting maps on alternative rings, \(\ast\)-Lie-Jordan-type maps on \(C^\ast\)-algebras, Strong commutativity preserving additive maps on rank k triangular matrices, Characterization of multiplicative Lie triple derivations on rings, Characterization of \(k\)-commuting additive maps on rings., Generalized Lie-type derivations of alternative algebras, *-Jordan-type maps onC^*-algebras, Nonlinear skew commuting maps on \(*\)-rings

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